Abiad, A.; Coutinho, G.; Fiol, M. A.; Nogueira, B. D.; Zeijlemaker, S. Optimization of eigenvalue bounds for the independence and chromatic number of graph powers. (English) Zbl 1481.05092 Discrete Math. 345, No. 3, Article ID 112706, 15 p. (2022). Reviewer: Abdullah Alazemi (Kuwait City) MSC: 05C50 05C15 05C69 90C10 PDF BibTeX XML Cite \textit{A. Abiad} et al., Discrete Math. 345, No. 3, Article ID 112706, 15 p. (2022; Zbl 1481.05092) Full Text: DOI arXiv OpenURL
Fiol, Miquel Àngel; Penjic, Safet On a version of the spectral excess theorem. (English) Zbl 1468.05149 Electron. J. Graph Theory Appl. 8, No. 2, 391-400 (2020). MSC: 05C50 05E30 PDF BibTeX XML Cite \textit{M. À. Fiol} and \textit{S. Penjic}, Electron. J. Graph Theory Appl. 8, No. 2, 391--400 (2020; Zbl 1468.05149) Full Text: DOI arXiv OpenURL
Diego, Victor; Fàbrega, Josep; Fiol, Miquel Àngel Equivalent characterizations of the spectra of graphs and applications to measures of distance-regularity. (English) Zbl 1448.05127 Electron. J. Linear Algebra 36, 629-644 (2020). MSC: 05C50 05C12 05E30 PDF BibTeX XML Cite \textit{V. Diego} et al., Electron. J. Linear Algebra 36, 629--644 (2020; Zbl 1448.05127) Full Text: arXiv Link OpenURL
Dalfó, Cristina; Fiol, Miquel Àngel A general method to obtain the spectrum and local spectra of a graph from its regular partitions. (English) Zbl 1444.05089 Electron. J. Linear Algebra 36, 446-460 (2020). MSC: 05C50 05C70 05E30 94B99 PDF BibTeX XML Cite \textit{C. Dalfó} and \textit{M. À. Fiol}, Electron. J. Linear Algebra 36, 446--460 (2020; Zbl 1444.05089) Full Text: arXiv Link OpenURL
Dalfó, Cristina; Fiol, M. A.; Koolen, J. The spectral excess theorem for graphs with few eigenvalues whose distance-2 or distance-1-or-2 graph is strongly regular. (English) Zbl 1425.05091 Linear Multilinear Algebra 67, No. 12, 2373-2381 (2019). MSC: 05C50 05E30 05C12 PDF BibTeX XML Cite \textit{C. Dalfó} et al., Linear Multilinear Algebra 67, No. 12, 2373--2381 (2019; Zbl 1425.05091) Full Text: DOI arXiv Link OpenURL
Abiad, Aida A characterization and an application of weight-regular partitions of graphs. (English) Zbl 1411.05213 Linear Algebra Appl. 569, 162-174 (2019). MSC: 05C70 05C22 05C50 05C69 PDF BibTeX XML Cite \textit{A. Abiad}, Linear Algebra Appl. 569, 162--174 (2019; Zbl 1411.05213) Full Text: DOI arXiv OpenURL
Dalfo, Cristina; Fiol, Miquel Àngel Graphs, friends and acquaintances. (English) Zbl 1467.05153 Electron. J. Graph Theory Appl. 6, No. 2, 282-305 (2018). MSC: 05C50 05C15 05C75 PDF BibTeX XML Cite \textit{C. Dalfo} and \textit{M. À. Fiol}, Electron. J. Graph Theory Appl. 6, No. 2, 282--305 (2018; Zbl 1467.05153) Full Text: DOI arXiv OpenURL
Shafiei, Fateme A spectral excess theorem for digraphs with normal Laplacian matrices. (English) Zbl 1463.05354 Trans. Comb. 7, No. 3, 19-28 (2018). MSC: 05C50 05E30 05C20 PDF BibTeX XML Cite \textit{F. Shafiei}, Trans. Comb. 7, No. 3, 19--28 (2018; Zbl 1463.05354) Full Text: DOI OpenURL
Ashkboos, Saleh; Omidi, Gholamreza; Shafiei, Fateme; Tajbakhsh, Khosro Minimum cuts of distance-regular digraphs. (English) Zbl 1372.05085 Electron. J. Comb. 24, No. 4, Research Paper P4.2, 10 p. (2017). MSC: 05C20 05C40 PDF BibTeX XML Cite \textit{S. Ashkboos} et al., Electron. J. Comb. 24, No. 4, Research Paper P4.2, 10 p. (2017; Zbl 1372.05085) Full Text: Link OpenURL
Abiad, Aida; Cioabă, Sebastian M.; Tait, Michael Spectral bounds for the \(k\)-independence number of a graph. (English) Zbl 1352.05107 Linear Algebra Appl. 510, 160-170 (2016). MSC: 05C50 05C69 PDF BibTeX XML Cite \textit{A. Abiad} et al., Linear Algebra Appl. 510, 160--170 (2016; Zbl 1352.05107) Full Text: DOI arXiv OpenURL
Abiad, A.; van Dam, E. R.; Fiol, M. A. Some spectral and quasi-spectral characterizations of distance-regular graphs. (English) Zbl 1342.05031 J. Comb. Theory, Ser. A 143, 1-18 (2016). MSC: 05C12 05C50 PDF BibTeX XML Cite \textit{A. Abiad} et al., J. Comb. Theory, Ser. A 143, 1--18 (2016; Zbl 1342.05031) Full Text: DOI arXiv OpenURL
Fiol, M. A. The spectral excess theorem for distance-regular graphs having distance-\(d\) graph with fewer distinct eigenvalues. (English) Zbl 1339.05090 J. Algebr. Comb. 43, No. 4, 827-836 (2016). MSC: 05C12 05C50 PDF BibTeX XML Cite \textit{M. A. Fiol}, J. Algebr. Comb. 43, No. 4, 827--836 (2016; Zbl 1339.05090) Full Text: DOI arXiv OpenURL
Dalfó, Cristina.; Fiol, Miquel Àngel; Mitjana, Margarida On middle cube graphs. (English) Zbl 1467.05154 Electron. J. Graph Theory Appl. 3, No. 2, 133-145 (2015). MSC: 05C50 PDF BibTeX XML Cite \textit{Cristina. Dalfó} et al., Electron. J. Graph Theory Appl. 3, No. 2, 133--145 (2015; Zbl 1467.05154) Full Text: DOI arXiv OpenURL
Omidi, G. R. A spectral excess theorem for normal digraphs. (English) Zbl 1319.05062 J. Algebr. Comb. 42, No. 2, 537-554 (2015). MSC: 05C20 05C12 05C50 05E30 PDF BibTeX XML Cite \textit{G. R. Omidi}, J. Algebr. Comb. 42, No. 2, 537--554 (2015; Zbl 1319.05062) Full Text: DOI arXiv OpenURL
Lee, Guang-Siang; Weng, Chih-wen A characterization of bipartite distance-regular graphs. (English) Zbl 1292.05173 Linear Algebra Appl. 446, 91-103 (2014). MSC: 05C50 05E30 PDF BibTeX XML Cite \textit{G.-S. Lee} and \textit{C.-w. Weng}, Linear Algebra Appl. 446, 91--103 (2014; Zbl 1292.05173) Full Text: DOI OpenURL
Abiad, A.; Dalfó, C.; Fiol, M. A. Corrigendum to “Algebraic characterizations of regularity properties in bipartite graphs”. (English) Zbl 1295.05270 Eur. J. Comb. 38, 130-132 (2014). MSC: 05E30 05C50 PDF BibTeX XML Cite \textit{A. Abiad} et al., Eur. J. Comb. 38, 130--132 (2014; Zbl 1295.05270) Full Text: DOI OpenURL
Fiol, Miquel Àngel The spectral excess theorem for distance-biregular graphs. (English) Zbl 1295.05272 Electron. J. Comb. 20, No. 3, Research Paper P21, 10 p. (2013). MSC: 05E30 PDF BibTeX XML Cite \textit{M. À. Fiol}, Electron. J. Comb. 20, No. 3, Research Paper P21, 10 p. (2013; Zbl 1295.05272) Full Text: arXiv Link OpenURL
Abiad, Aida; Dalfó, Cristina; Fiol, Miquel Àngel Algebraic characterizations of regularity properties in bipartite graphs. (English) Zbl 1292.05273 Eur. J. Comb. 34, No. 8, 1223-1231 (2013); corrigendum ibid. 38, 130-132 (2014). MSC: 05E30 05C50 PDF BibTeX XML Cite \textit{A. Abiad} et al., Eur. J. Comb. 34, No. 8, 1223--1231 (2013; Zbl 1292.05273) Full Text: DOI arXiv OpenURL
Cámara, M.; Dalfó, C.; Delorme, C.; Fiol, M. A.; Suzuki, H. Edge-distance-regular graphs are distance-regular. (English) Zbl 1277.05050 J. Comb. Theory, Ser. A 120, No. 5, 1057-1067 (2013). MSC: 05C12 42C05 PDF BibTeX XML Cite \textit{M. Cámara} et al., J. Comb. Theory, Ser. A 120, No. 5, 1057--1067 (2013; Zbl 1277.05050) Full Text: DOI arXiv OpenURL
Fiol, M. A. Pseudo-distance-regularized graphs are distance-regular or distance-biregular. (English) Zbl 1251.05045 Linear Algebra Appl. 437, No. 12, 2973-2977 (2012). MSC: 05C12 PDF BibTeX XML Cite \textit{M. A. Fiol}, Linear Algebra Appl. 437, No. 12, 2973--2977 (2012; Zbl 1251.05045) Full Text: DOI arXiv OpenURL
Dalfó, C.; Van Dam, E. R.; Fiol, M. A.; Garriga, E. Dual concepts of almost distance-regularity and the spectral excess theorem. (English) Zbl 1245.05032 Discrete Math. 312, No. 17, 2730-2734 (2012). MSC: 05C12 05C50 PDF BibTeX XML Cite \textit{C. Dalfó} et al., Discrete Math. 312, No. 17, 2730--2734 (2012; Zbl 1245.05032) Full Text: DOI arXiv OpenURL
Lee, Guang-Siang; Weng, Chih-Wen A spectral excess theorem for nonregular graphs. (English) Zbl 1245.05087 J. Comb. Theory, Ser. A 119, No. 7, 1427-1431 (2012). MSC: 05C50 05C12 PDF BibTeX XML Cite \textit{G.-S. Lee} and \textit{C.-W. Weng}, J. Comb. Theory, Ser. A 119, No. 7, 1427--1431 (2012; Zbl 1245.05087) Full Text: DOI OpenURL
van Dam, Edwin R.; Haemers, Willem H. An odd characterization of the generalized odd graphs. (English) Zbl 1234.05157 J. Comb. Theory, Ser. B 101, No. 6, 486-489 (2011). MSC: 05C50 05C12 PDF BibTeX XML Cite \textit{E. R. van Dam} and \textit{W. H. Haemers}, J. Comb. Theory, Ser. B 101, No. 6, 486--489 (2011; Zbl 1234.05157) Full Text: DOI arXiv OpenURL
Dalfó, C.; van Dam, E. R.; Fiol, M. A. On perturbations of almost distance-regular graphs. (English) Zbl 1222.05152 Linear Algebra Appl. 435, No. 10, 2626-2638 (2011). MSC: 05C50 05E30 PDF BibTeX XML Cite \textit{C. Dalfó} et al., Linear Algebra Appl. 435, No. 10, 2626--2638 (2011; Zbl 1222.05152) Full Text: DOI arXiv OpenURL
Cámara, M.; Dalfó, C.; Fàbrega, J.; Fiol, M. A.; Garriga, E. Edge-distance-regular graphs. (English) Zbl 1231.05083 J. Comb. Theory, Ser. A 118, No. 7, 2071-2091 (2011). MSC: 05C12 05C50 05E30 PDF BibTeX XML Cite \textit{M. Cámara} et al., J. Comb. Theory, Ser. A 118, No. 7, 2071--2091 (2011; Zbl 1231.05083) Full Text: DOI Link OpenURL
Dalfó, C.; van Dam, E. R.; Fiol, M. A.; Garriga, E.; Gorissen, B. L. On almost distance-regular graphs. (English) Zbl 1225.05249 J. Comb. Theory, Ser. A 118, No. 3, 1094-1113 (2011). MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{C. Dalfó} et al., J. Comb. Theory, Ser. A 118, No. 3, 1094--1113 (2011; Zbl 1225.05249) Full Text: DOI arXiv OpenURL
Dalfó, C.; Fiol, M. A.; Garriga, E. The geometry of \(t\)-spreads in \(k\)-walk-regular graphs. (English) Zbl 1207.05105 J. Graph Theory 64, No. 4, 312-322 (2010). MSC: 05C38 05C50 51A40 PDF BibTeX XML Cite \textit{C. Dalfó} et al., J. Graph Theory 64, No. 4, 312--322 (2010; Zbl 1207.05105) Full Text: DOI OpenURL
Fiol, M. A.; Gago, S.; Garriga, E. A simple proof of the spectral excess theorem for distance-regular graphs. (English) Zbl 1221.05112 Linear Algebra Appl. 432, No. 9, 2418-2422 (2010). MSC: 05C12 PDF BibTeX XML Cite \textit{M. A. Fiol} et al., Linear Algebra Appl. 432, No. 9, 2418--2422 (2010; Zbl 1221.05112) Full Text: DOI OpenURL
Fiol, M. A.; Mitjana, M. The local spectra of regular line graphs. (English) Zbl 1215.05103 Discrete Math. 310, No. 3, 511-517 (2010). MSC: 05C50 05C76 PDF BibTeX XML Cite \textit{M. A. Fiol} and \textit{M. Mitjana}, Discrete Math. 310, No. 3, 511--517 (2010; Zbl 1215.05103) Full Text: DOI Link OpenURL
Barrière, L.; Comellas, F.; Dalfó, C.; Fiol, M. A. On the hierarchical product of graphs and the generalized binomial tree. (English) Zbl 1225.05206 Linear Multilinear Algebra 57, No. 7, 695-712 (2009). MSC: 05C76 05C50 05C05 PDF BibTeX XML Cite \textit{L. Barrière} et al., Linear Multilinear Algebra 57, No. 7, 695--712 (2009; Zbl 1225.05206) Full Text: DOI Link OpenURL
Fiol, M. A.; Gimbert, J.; Miller, M. Multipartite Moore digraphs. (English) Zbl 1105.05028 Linear Algebra Appl. 419, No. 1, 234-250 (2006). MSC: 05C20 05C50 05E30 PDF BibTeX XML Cite \textit{M. A. Fiol} et al., Linear Algebra Appl. 419, No. 1, 234--250 (2006; Zbl 1105.05028) Full Text: DOI OpenURL
Fiol, M. A.; Garriga, E. On the spectrum of an extremal graph with four eigenvalues. (English) Zbl 1103.05049 Discrete Math. 306, No. 18, 2241-2244 (2006). MSC: 05C50 05C35 PDF BibTeX XML Cite \textit{M. A. Fiol} and \textit{E. Garriga}, Discrete Math. 306, No. 18, 2241--2244 (2006; Zbl 1103.05049) Full Text: DOI OpenURL
Comellas, F.; Fiol, M. A.; Gimbert, J.; Mitjana, M. On the weak distance-regularity of Moore-type digraphs. (English) Zbl 1091.05042 Linear Multilinear Algebra 54, No. 4, 265-284 (2006). MSC: 05C50 05C20 05E30 05C38 PDF BibTeX XML Cite \textit{F. Comellas} et al., Linear Multilinear Algebra 54, No. 4, 265--284 (2006; Zbl 1091.05042) Full Text: DOI OpenURL
Fiol, M. A. Spectral bounds and distance-regularity. (English) Zbl 1060.05102 Linear Algebra Appl. 397, 17-33 (2005). MSC: 05E30 05E35 PDF BibTeX XML Cite \textit{M. A. Fiol}, Linear Algebra Appl. 397, 17--33 (2005; Zbl 1060.05102) Full Text: DOI OpenURL
Curtin, Brian Algebraic characterizations of graph regularity conditions. (English) Zbl 1055.05154 Des. Codes Cryptography 34, No. 2-3, 241-248 (2005). MSC: 05E30 PDF BibTeX XML Cite \textit{B. Curtin}, Des. Codes Cryptography 34, No. 2--3, 241--248 (2005; Zbl 1055.05154) Full Text: DOI OpenURL
Comellas, F.; Fiol, M. A.; Gimbert, J.; Mitjana, M. Weakly distance-regular digraphs. (English) Zbl 1033.05100 J. Comb. Theory, Ser. B 90, No. 2, 233-255 (2004). MSC: 05E30 05C20 05C50 05E35 PDF BibTeX XML Cite \textit{F. Comellas} et al., J. Comb. Theory, Ser. B 90, No. 2, 233--255 (2004; Zbl 1033.05100) Full Text: DOI OpenURL